How do you simplify #\frac { 27u ^ { 2} v ^ { 3} } { - 98v ^ { 4} v ^ { 5} } #?

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Answer 1 · 2017-06-04T01:55:39

#(27u^2)/(-98v^6)# simplifies to #color(blue)(-(27u^2)/(98v^6)#.

Simplify.

#(27u^2)/(-98v^6)##

Use the product rule of exponents: #a^ma^n=a^(m+n)#.

#(27u^2v^3)/(-98v^(4+5))#

Simplify.

#(27u^2v^3)/(-98v^9)#

Apply the quotient rule #a^m/a^n=a^(m-n)#.

#(27u^2v^(3-9))/(-98)#

Simplify.

#(27u^2v^(-6))/(-98)#

Apply the negative exponent rule: #a^(-m)=1/a^m#.

#(27u^2)/(-98v^6)#

Move the negative symbol to the front.

#-(27u^2)/(98v^6)#